DC Field | Value | Language |
---|---|---|

dc.contributor.author | Iričanin, Bratislav | en |

dc.contributor.author | Stević, Stevo | en |

dc.date.accessioned | 2020-05-01T20:13:45Z | - |

dc.date.available | 2020-05-01T20:13:45Z | - |

dc.date.issued | 2006-01-01 | en |

dc.identifier.issn | 1201-3390 | en |

dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/1683 | - |

dc.description.abstract | We show that every positive solution of the system of difference equations x n + 1(1) = 1 + x n(2) /x n - 1(3) , x n + 1(2) = 1 + x n(3) /x n - 1(4) ,..., x n + 1 (k) = 1 + x n(1) /x n - 1(2) , n ε ℕ 0 , where k ε ℕ is fixed, is periodic with period equal to 5k if k ≢ 0 (mod 5), and with period k if k ≡ 0 (mod 5). It is shown also that every positive solution of the system of difference equations x n + 1(1) = 1 + x n(2) + x n - 1(3) /x n - 2(4) , x n + 1(2) = 1 + x n(3) + x n - 1(4) /x n - 2(5) ,..., x n + 1(k) = 1 + x n(1) + x n - 1(2) ,/x n - 2(3) n ε ℕ 0 , is periodic with period equal to 2 3-i k, if GCD(k, 8) = 2 i , i ε {0, 1, 2, 3} (the greatest common divisor of k and 8). Two more systems are considered. These results generalize the well-known periodicity of the corresponding scalar equations. | en |

dc.publisher | Watam Press | - |

dc.relation.ispartof | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis | en |

dc.subject | Periodicity | Positive solution | System of difference equations | en |

dc.title | Some systems of nonlinear difference equations of higher order with periodic solutions | en |

dc.type | Article | en |

dc.identifier.scopus | 2-s2.0-33748547336 | en |

dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |

dc.relation.firstpage | 499 | en |

dc.relation.lastpage | 507 | en |

dc.relation.issue | 3-4 | en |

dc.relation.volume | 13 | en |

dc.description.rank | M23 | - |

item.cerifentitytype | Publications | - |

item.fulltext | No Fulltext | - |

item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |

item.openairetype | Article | - |

item.grantfulltext | none | - |

crisitem.author.orcid | 0000-0002-7202-9764 | - |

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